Predict a student’s GPA (y) based upon the number of hours studied per week (x).
Hours/week |
GPA |
5 |
2.5 |
10 |
3.1 |
12 |
3.3 |
20 |
3.8 |
15 |
3.7 |
12 |
3.5 |
Using the correct answer from the previous question, predict the GPA of someone who studies 10 hours?
a) 2.5
b) 2.7
c) 2.9
d) 3.1
(i)
From the given data, the following Table is calculated:
X | Y | XY | X2 |
5 | 2.5 | 12.5 | 25 |
10 | 3.1 | 31 | 100 |
12 | 3.3 | 39.6 | 144 |
20 | 3.8 | 76 | 400 |
15 | 3.7 | 55.5 | 225 |
12 | 3.5 | 42 | 144 |
Total = 74 | 19.9 | 256.6 | 1038 |
So,
Predict a student’s GPA (y) based upon the number of hours studied per week (x). is given by:
(ii)
For x = 10, we get:
So,
Correct option:
(d) 3.1
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